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Finding the Third Proportional to 17,307 and 19,851.75

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Solution

The third proportional to 17,307 and 19,851.75 is: 22,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307 : 19,851.75 = 19,851.75 : x
  2. Step 2: Convert to fraction form
    17,307/19,851.75 = 19,851.75/x
  3. Step 3: Cross multiply
    17,307x = 19,851.75 × 19,851.75
  4. Step 4: Simplify right side
    17,307x = 394,091,978.06
  5. Step 5: Solve for x
    x = 394,091,978.06/17,307
  6. Step 6: Final answer
    x = 22,770.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.